Time-stepping approximation of rigid-body dynamics with perfect unilateral constraints. II: The partially elastic impact case

DOI10.1007/s00205-010-0312-zzbMath1278.70013OpenAlexW4238286325MaRDI QIDQ717181

L. Paoli

Publication date: 27 September 2011

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00205-010-0312-z

zbMATH Keywords

convergencesecond-order differential inclusiondiscrete mechanical system

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Impact in solid mechanics (74M20) Dynamics of multibody systems (70E55) Collision of rigid or pseudo-rigid bodies (70F35)

Related Items (6)

Inertial couplings between unilateral and bilateral holonomic constraints in frictionless Lagrangian systems ⋮ A proximal-like method for a class of second order measure-differential inclusions describing vibro-impact problems ⋮ Discontinuous solutions in the optimal control problems and their representation by singular space-time transformations ⋮ Existence and approximation for vibro-impact problems with a time-dependent set of constraints ⋮ Existence of solutions for second-order differential inclusions involving proximal normal cones ⋮ A dynamic thermo-mechanical actuator system with contact and Barber's heat exchange boundary conditions

Cites Work

• Differential inclusions in nonsmooth mechanical problems. Shocks and dry friction
• Time-stepping approximation of rigid-body dynamics with perfect unilateral constraints. I: The inelastic impact case
• A unified variational model for the dynamics of perfect unilateral constraints
• The dynamics of discrete mechanical systems with perfect unilateral constraints
• A class of nonlinear differential equations of second order in time
• Penalty method for impact in generalized coordinates
• Non-Absolutely Convergent Integrals with Respect to Functions of Bounded Variation
• CONTINUOUS DEPENDENCE ON DATA FOR VIBRO-IMPACT PROBLEMS
• A Numerical Scheme for Impact Problems II: The Multidimensional Case
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